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Finding the Third Proportional to 43,412 and 65,106

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Solution

The third proportional to 43,412 and 65,106 is: 97,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,412 : 65,106 = 65,106 : x
  2. Step 2: Convert to fraction form
    43,412/65,106 = 65,106/x
  3. Step 3: Cross multiply
    43,412x = 65,106 × 65,106
  4. Step 4: Simplify right side
    43,412x = 4,238,791,236
  5. Step 5: Solve for x
    x = 4,238,791,236/43,412
  6. Step 6: Final answer
    x = 97,641.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.